QUESTION $2[15$ MARKS

In the electrical circuit of Figure $2,$ assume that voltage $v(t)$ is applied to the input terminals and voltage $v_o(t)$ appears at the output terminals. In addition, assume that the input is sinusoidal and is given by

$v(t)=200sint$

with time constant, r of $3$ sec $.$ Determine the steady$-$state voltage output, $V_{2u(l)}?$

$[15$ Marks$]$

Figure $2$: Electrical system